2018-11-20T03:36:58Zhttp://cjms.journals.umz.ac.ir/?_action=export&rf=summon&issue=1402014-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201322On The Convergence Of Modified Noor Iteration For Nearly Lipschitzian Maps In Real Banach SpacesA.MogbademuIn this paper, we obtained the convergence of modified Noor iterative scheme for nearly Lipschitzian maps in real Banach spaces. Our results contribute to the literature in this area of re- search.Fixed point iteration schemesUniformly L-Lipschitzian
asymptotically pseudocontractive mappingsBanach spaces, nearly
uniformly L−Lipschitzian mappings2014123195104http://cjms.journals.umz.ac.ir/article_655_76c24089a05b2be60094f6035c55704f.pdf2014-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201322k-TUPLE DOMATIC IN GRAPHSA. P.KazemiFor every positive integer k, a set S of vertices in a graph G = (V;E) is a k- tuple dominating set of G if every vertex of V -S is adjacent to at least k vertices and every vertex of S is adjacent to at least k - 1 vertices in S. The minimum cardinality of a k-tuple dominating set of G is the k-tuple domination number of G. When k = 1, a k-tuple domination number is the well-studied domination number. We define the k-tuple domatic number of G as the largest number of sets in a partition of V into k-tuple dominating sets. Recall that when k = 1, a k-tuple domatic number is the well-studied domatic number. In this work, we derive basic properties and bounds for the k-tuple domatic number.k-tuple dominating setk-tuple domination numberk-
tuple domatic number20141231105112http://cjms.journals.umz.ac.ir/article_450_376603f729effe72173d9d24b2684890.pdf2014-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201322A computational method for nonlinear mixed Volterra-Fredholm integral equationsF.MirzaeeE.HadadiyanIn this article the nonlinear mixed Volterra-Fredholm integral equations are investigated by means of the modied three-dimensional block-pulse functions (M3D-BFs). This method converts the nonlinear mixed Volterra-Fredholm integral equations into a nonlinear system of algebraic equations. The illustrative examples are provided to demonstrate the applicability and simplicity of our scheme. Nonlinear mixed Volterra-Fredholm integral equationsBlockpulse
functionsOperational matrixOrthogonal functions20141231113123http://cjms.journals.umz.ac.ir/article_288_2820203d6f10754debd34e7621d12755.pdf2014-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201322COMON FIXED POINT THEOREMS FOR GENERALIZED WEAKLY CONTRACTIVE MAPPINGS UNDER THE WEAKER MEIR-KEELER TYPE FUNCTIONS.MoradiE.Audeganin this paper, we prove some common fixed point theorems for multivalued mappings and we present some new generalization contractive conditions under the condition of weak compatibility. Our results extends Chang-Chen’s results as well as ´Ciri´c results. An example is given to support the usability of our results.Metric SpaceCommon fixed pointContractive mappingWeakly compatible20141231125136http://cjms.journals.umz.ac.ir/article_503_3c18148647e1a0b5947fe546c01d98ba.pdf2014-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201322Some new results on semi fully fuzzy linear programming problemsS.H.NasseriR.ChamehE.BehmaneshThere are two interesting methods, in the literature, for solving fuzzy linear programming problems in which the elements of coefficient matrix of the constraints are represented by real numbers and rest of the parameters are represented by symmetric trapezoidal fuzzy numbers. The first method, named as fuzzy primal simplex method, assumes an initial primal basic feasible solution is at hand. The second method, named as fuzzy dual simplex method, assumes an initial dual basic feasible solution is at hand. In this paper, the shortcomings of these methods are pointed out and to overcome these shortcomings, a new method is proposed to determine the fuzzy optimal solution of such fuzzy problems. The advantages of the proposed method over existing methods are discussed. To illustrate the proposed method a numerical example is solved by using the proposed method and the obtained results are discussed.Linear programmingsymmetric trapezoidal fuzzy numberfuzzy primal simplex
methodfuzzy dual simplex method20141231137146http://cjms.journals.umz.ac.ir/article_500_578726577f8f436f949306a7b938952a.pdf2014-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201322Periodicity in a System of Differential Equations with Finite DelayE.YanksonThe existence and uniqueness of a periodic solution of the system of differential equations d dt x(t) = A(t)x(t − ) are proved. In particular the Krasnoselskii’s fixed point theorem and the contraction mapping principle are used in the analysis. In addition, the notion of fundamental matrix solution coupled with Floquet theory is also employed. Fixed pointFundamental matrix solutionFloquet theoryperiodic solution20141231147157http://cjms.journals.umz.ac.ir/article_658_4d02ab71d2872a3389d4369a8ea9c7e8.pdf2014-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201322Existence of a positive solution for a p-Laplacian equation with‎ ‎singular nonlinearitiesS‎.‎KhademlooF.Yosefzade‎In this paper‎, ‎we study a class of boundary value problem‎ ‎involving the p-Laplacian oprator and singular nonlinearities‎. ‎We‎ ‎analyze the existence a critical parameter $lambda^{ast}$ such‎ ‎that the problem has least one solution for‎ ‎$lambdain(0,lambda^{ast})$ and no solution for‎ ‎$lambda>lambda^{ast}.$ We find lower bounds of critical‎ ‎parameter $lambda^{ast}$‎. ‎We use the method of‎ ‎sub-supersolution to establish our results.‎singular nonlinearities‎‎positive solution‎
‎sub-supersolution20141231159166http://cjms.journals.umz.ac.ir/article_490_661cd2f3c780220f654c7a68ceaafb6f.pdf2014-12-3110.22080Caspian Journal of Mathematical Sciences (CJMS)CJMS1735-06111735-0611201322Studies on Sturm-Liouville boundary value problems for multi-term fractional differential equationsX.YangY.liuX.Liu Abstract. The Sturm-Liouville boundary value problem of the multi-order fractional differential equation  is studied. Results on the existence of solutions are established. The analysis relies on a weighted function space and a fixed point theorem. An example is given to illustrate the efficiency of the main theorems.solutionmulti-order fractional differential equationSturm-Liouville
boundary value problemsfixed-point theorem20141231167184http://cjms.journals.umz.ac.ir/article_435_54bda2f84c160c2a5d99ecfced9602e3.pdf